{
 "metadata": {
  "name": "General Game Learning Tests"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Frogger"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from matplotlib import rc\n",
      "rc('font',**{'family':'sans-serif','sans-serif':['Times']})\n",
      "rc('font',**{'family':'serif','serif':['Times']})\n",
      "rc('text', usetex=True)\n",
      "\n",
      "import scipy\n",
      "import scipy.ndimage\n",
      "import scipy.ndimage.filters"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ggl_dir         = r\"C:\\Users\\mike\\Documents\\Work\\Subversion\\GoogleCode\\general-game-learning\"\n",
      "score_random    = loadtxt(ggl_dir + r\"\\dataDump\\frogger\\difficulty=hard.random=1\\Score.txt\")\n",
      "score_always_up = loadtxt(ggl_dir + r\"\\dataDump\\frogger\\difficulty=hard.alwaysUp=1\\Score.txt\")\n",
      "score_sarsa     = loadtxt(ggl_dir + r\"\\dataDump\\frogger\\difficulty=hard.sarsa=1.alpha=0.01.crazyHack=0.midtermReward=0\\Score.txt\")\n",
      "\n",
      "s = scipy.ndimage.filters.uniform_filter1d(score_sarsa,     50, mode=\"reflect\")\n",
      "a = scipy.ndimage.filters.uniform_filter1d(score_always_up, 50, mode=\"reflect\")\n",
      "r = scipy.ndimage.filters.uniform_filter1d(score_random,    50, mode=\"reflect\")\n",
      "\n",
      "ds = scipy.ndimage.correlate1d(s, [-1,0,1], mode=\"reflect\").astype(float32)\n",
      "da = scipy.ndimage.correlate1d(a, [-1,0,1], mode=\"reflect\").astype(float32)\n",
      "dr = scipy.ndimage.correlate1d(r, [-1,0,1], mode=\"reflect\").astype(float32)\n",
      "\n",
      "cla();\n",
      "plot(ds[100:2600], label=r\"Our Method\");\n",
      "plot(da[100:2600], label=r\"Always Move Up\");\n",
      "plot(dr[100:2600], label=r\"Random Movement\");\n",
      "ylim([-2500,500]);\n",
      "lg = legend(loc=4, ncol=3, mode=\"expand\", handletextpad=0, handlelength=1.2);\n",
      "xlabel(r\"Episode\");\n",
      "title(r\"\\textsc{Frogger} Reward Per Episode (50 episode moving average)\");\n",
      "\n",
      "savefig(\"frogger.pdf\");"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": 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amttbnD5NSE0NnYs1Nd7f72+UlRGSn0/TahNCyKhRhGzZ4l0ZJSWE9OxJn6PN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\nMBBCCJGgwEAIIUSCAgMhhBCJ/wc6ocJgLkOL4QAAAABJRU5ErkJggg==\n"
      }
     ],
     "prompt_number": 24
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Pong"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ggl_dir              = r\"C:\\Users\\mike\\Documents\\Work\\Subversion\\GoogleCode\\general-game-learning\"\n",
      "score_sarsa          = loadtxt(ggl_dir + r\"\\dataDump\\pong\\sarsa\\Bounces since reset.txt\")\n",
      "score_sarsa_no_hack  = loadtxt(ggl_dir + r\"\\dataDump\\pong\\sarsaNoHack\\Bounces since reset.txt\")\n",
      "score_random         = loadtxt(ggl_dir + r\"\\dataDump\\pong\\random\\Bounces since reset.txt\")\n",
      "score_always_nothing = loadtxt(ggl_dir + r\"\\dataDump\\pong\\alwaysNothing\\Bounces since reset.txt\")\n",
      "\n",
      "s = scipy.ndimage.filters.uniform_filter1d(score_sarsa,  3, mode=\"reflect\")\n",
      "a = scipy.ndimage.filters.uniform_filter1d(score_random, 3, mode=\"reflect\")\n",
      "\n",
      "cla();\n",
      "p = plot(s, \"b-\", label=r\"Our Method\");\n",
      "setp(p, 'markersize', 5)\n",
      "setp(p, 'markerfacecolor', 'b')\n",
      "setp(p, 'markeredgewidth', 0)\n",
      "setp(p, 'markeredgecolor', 'b')\n",
      "\n",
      "p = plot(a, \"r-\", label=r\"Random Movement\");\n",
      "setp(p, 'markersize', 5)\n",
      "setp(p, 'markerfacecolor', 'r')\n",
      "setp(p, 'markeredgewidth', 0)\n",
      "setp(p, 'markeredgecolor', 'r')\n",
      "\n",
      "ylim([-10,55]);\n",
      "lg = legend(loc=8, ncol=3, handletextpad=0, handlelength=1.2);\n",
      "xlabel(r\"Episode\");\n",
      "title(r\"\\textsc{Pong} Bounces Per Episode (3 episode moving average)\");\n",
      "\n",
      "savefig(\"pong.pdf\");"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": 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49+mbAwfURaTvfQ+47jq1k89Vz37DBnW2qQ0XA+Z+HSQH+kWL1MF2zx71+tAh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\nogrHQE9EVOH+P1vzUb8KzkZ3AAAAAElFTkSuQmCC\n"
      }
     ],
     "prompt_number": 85
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Dance Dance Revolution"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ggl_dir              = r\"C:\\Users\\mike\\Documents\\Work\\Subversion\\GoogleCode\\general-game-learning\"\n",
      "score_sarsa_hit      = loadtxt(ggl_dir + r\"\\dataDump\\ddr\\sarsa1\\Arrows hit.txt\")\n",
      "score_sarsa_missed   = loadtxt(ggl_dir + r\"\\dataDump\\ddr\\sarsa1\\Arrows missed.txt\")\n",
      "score_random_hit     = loadtxt(ggl_dir + r\"\\dataDump\\ddr\\random1\\Arrows hit.txt\")\n",
      "score_random_missed  = loadtxt(ggl_dir + r\"\\dataDump\\ddr\\random1\\Arrows missed.txt\")\n",
      "\n",
      "sr = score_sarsa_hit.astype(float32)  / (score_sarsa_hit.astype(float32)+score_sarsa_missed.astype(float32))\n",
      "rr = score_random_hit.astype(float32) / (score_random_hit.astype(float32)+score_random_missed.astype(float32))\n",
      "\n",
      "clf();\n",
      "cla();\n",
      "p = plot(sr, \"b-\", label=r\"Our Method\");\n",
      "setp(p, 'markersize', 5)\n",
      "setp(p, 'markerfacecolor', 'b')\n",
      "setp(p, 'markeredgewidth', 0)\n",
      "setp(p, 'markeredgecolor', 'b')\n",
      "\n",
      "p = plot(rr, \"r-\", label=r\"Random Guesses\");\n",
      "setp(p, 'markersize', 5)\n",
      "setp(p, 'markerfacecolor', 'r')\n",
      "setp(p, 'markeredgewidth', 0)\n",
      "setp(p, 'markeredgecolor', 'r')\n",
      "\n",
      "ylim([-0.2,1.2]);\n",
      "lg = legend(loc=8, ncol=3, handletextpad=0, handlelength=1.2);\n",
      "xlabel(r\"Episode\");\n",
      "title(r\"\\textsc{Dance-Dance-Revolution} Fraction of Hits Per Episode\");\n",
      "\n",
      "savefig(\"ddr.pdf\");"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": 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bfuONwKGHAvffz7/37WMX0FlnAUccEdo5m5uBp54CnnuOf3/5JdDSwm6GtBGG8XfuBKxW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\nRK5CYII=\n"
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Dodge the Missile"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ggl_dir        = r\"C:\\Users\\mike\\Documents\\Work\\Subversion\\GoogleCode\\general-game-learning\"\n",
      "score_sarsa_f  = loadtxt(ggl_dir + r\"\\dataDump\\dodgeTheMissile\\Sarsa2\\Frames since reset.txt\")\n",
      "score_sarsa_a  = loadtxt(ggl_dir + r\"\\dataDump\\dodgeTheMissile\\Sarsa2\\Candy eaten.txt\")\n",
      "score_random_f = loadtxt(ggl_dir + r\"\\dataDump\\dodgeTheMissile\\Random2\\Frames since reset.txt\")\n",
      "score_random_a = loadtxt(ggl_dir + r\"\\dataDump\\dodgeTheMissile\\Random2\\Candy eaten.txt\")\n",
      "\n",
      "sf = scipy.ndimage.filters.uniform_filter1d(score_sarsa_f,  3, mode=\"reflect\")\n",
      "rf = scipy.ndimage.filters.uniform_filter1d(score_random_f, 3, mode=\"reflect\")\n",
      "\n",
      "cla();\n",
      "p = plot(sf, \"b-\", label=r\"Our Method\");\n",
      "setp(p, 'markersize', 5)\n",
      "setp(p, 'markerfacecolor', 'b')\n",
      "setp(p, 'markeredgewidth', 0)\n",
      "setp(p, 'markeredgecolor', 'b')\n",
      "\n",
      "p = plot(rf, \"r-\", label=r\"Random Movement\");\n",
      "setp(p, 'markersize', 5)\n",
      "setp(p, 'markerfacecolor', 'r')\n",
      "setp(p, 'markeredgewidth', 0)\n",
      "setp(p, 'markeredgecolor', 'r')\n",
      "\n",
      "ylim([-1000,5500]);\n",
      "lg = legend(loc=8, ncol=3, handletextpad=0, handlelength=1.2);\n",
      "xlabel(r\"Episode\");\n",
      "title(r\"\\textsc{Dodge-The-Missile} Frames Survived Per Episode (3 episode moving average)\");\n",
      "\n",
      "savefig(\"dtm1.pdf\");"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": 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lH4cMY2zFuHRJnA9jNIq/i4pEDyYW4+GyfOGQYYytGJl6Mhs2iJDhnkx+cMgw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\nnhGHq111VeJEnLVrgZ//XBw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      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ggl_dir        = r\"C:\\Users\\mike\\Documents\\Work\\Subversion\\GoogleCode\\general-game-learning\"\n",
      "score_sarsa_f  = loadtxt(ggl_dir + r\"\\dataDump\\dodgeTheMissile\\Sarsa2\\Frames since reset.txt\")\n",
      "score_sarsa_a  = loadtxt(ggl_dir + r\"\\dataDump\\dodgeTheMissile\\Sarsa2\\Candy eaten.txt\")\n",
      "score_random_f = loadtxt(ggl_dir + r\"\\dataDump\\dodgeTheMissile\\Random2\\Frames since reset.txt\")\n",
      "score_random_a = loadtxt(ggl_dir + r\"\\dataDump\\dodgeTheMissile\\Random2\\Candy eaten.txt\")\n",
      "\n",
      "sa = scipy.ndimage.filters.uniform_filter1d(score_sarsa_a,  3, mode=\"reflect\")\n",
      "ra = scipy.ndimage.filters.uniform_filter1d(score_random_a, 3, mode=\"reflect\")\n",
      "\n",
      "cla();\n",
      "p = plot(sa, \"b-\", label=r\"Our Method\");\n",
      "setp(p, 'markersize', 5)\n",
      "setp(p, 'markerfacecolor', 'b')\n",
      "setp(p, 'markeredgewidth', 0)\n",
      "setp(p, 'markeredgecolor', 'b')\n",
      "\n",
      "p = plot(ra, \"r-\", label=r\"Random Movement\");\n",
      "setp(p, 'markersize', 5)\n",
      "setp(p, 'markerfacecolor', 'r')\n",
      "setp(p, 'markeredgewidth', 0)\n",
      "setp(p, 'markeredgecolor', 'r')\n",
      "\n",
      "ylim([-5,30]);\n",
      "lg = legend(loc=8, ncol=3, handletextpad=0, handlelength=1.2);\n",
      "xlabel(r\"Episode\");\n",
      "title(r\"\\textsc{Dodge-The-Missile} Powerups Obtained Per Episode (3 episode moving average)\");\n",
      "\n",
      "savefig(\"dtm2.pdf\");"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": 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BK69UuxSZi8KIEELS4KOPgP371S5F5qIwIoSQNBgYABRu8kvGUBgRQkgaDA4CSe7AnvMo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\nhREhhBDV/X+pFiReWRCZHgAAAABJRU5ErkJggg==\n"
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Eat the Fruit"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ggl_dir        = r\"C:\\Users\\mike\\Documents\\Work\\Subversion\\GoogleCode\\general-game-learning\"\n",
      "score_sarsa_f  = loadtxt(ggl_dir + r\"\\dataDump\\fruitEater\\Sarsa\\Frames since reset.txt\")\n",
      "score_random_f = loadtxt(ggl_dir + r\"\\dataDump\\fruitEater\\Random\\Frames since reset.txt\")\n",
      "\n",
      "sf = scipy.ndimage.filters.uniform_filter1d(score_sarsa_f,  20, mode=\"reflect\")\n",
      "rf = scipy.ndimage.filters.uniform_filter1d(score_random_f, 20, mode=\"reflect\")\n",
      "\n",
      "cla();\n",
      "p = plot(sf, \"b-\", label=r\"Our Method\");\n",
      "setp(p, 'markersize', 5)\n",
      "setp(p, 'markerfacecolor', 'b')\n",
      "setp(p, 'markeredgewidth', 0)\n",
      "setp(p, 'markeredgecolor', 'b')\n",
      "\n",
      "p = plot(rf, \"r-\", label=r\"Random Movement\");\n",
      "setp(p, 'markersize', 5)\n",
      "setp(p, 'markerfacecolor', 'r')\n",
      "setp(p, 'markeredgewidth', 0)\n",
      "setp(p, 'markeredgecolor', 'r')\n",
      "\n",
      "ylim([-100,300]);\n",
      "lg = legend(loc=8, ncol=3, handletextpad=0, handlelength=1.2);\n",
      "xlabel(r\"Episode\");\n",
      "title(r\"\\textsc{Eat-The-Fruit} Frames to Find Goal Per Episode (20 episode moving average)\");\n",
      "\n",
      "savefig(\"eatTheFruit.pdf\");"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": 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zzYh3o7ZEnE7glltsjAnzBCJA6SE7ndQYhYO/s2BBaogI51Uyw+ula2Fmidx2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\nNgYXQ1kiBw6AROScc4Ir5sB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0Gyw04vrrlQVy2Kduhbw8msdghpmIqFFPpMvPJ3+1FRGZ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\n"
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ggl_dir         = r\"C:\\Users\\mike\\Documents\\Work\\Subversion\\GoogleCode\\general-game-learning\"\n",
      "score_sarsa_f00 = loadtxt(ggl_dir + r\"\\dataDump\\gridWorld\\lambda_0\\Frames since reset.txt\")\n",
      "score_sarsa_f01 = loadtxt(ggl_dir + r\"\\dataDump\\gridWorld\\lambda_0_1\\Frames since reset.txt\")\n",
      "score_sarsa_f02 = loadtxt(ggl_dir + r\"\\dataDump\\gridWorld\\lambda_0_2\\Frames since reset.txt\")\n",
      "score_sarsa_f05 = loadtxt(ggl_dir + r\"\\dataDump\\gridWorld\\lambda_0_5\\Frames since reset.txt\")\n",
      "score_sarsa_f09 = loadtxt(ggl_dir + r\"\\dataDump\\gridWorld\\lambda_0_9\\Frames since reset.txt\")\n",
      "score_random_f  = loadtxt(ggl_dir + r\"\\dataDump\\gridWorld\\random\\Frames since reset.txt\")\n",
      "\n",
      "sf00 = scipy.ndimage.filters.uniform_filter1d(score_sarsa_f00, 3, mode=\"reflect\")\n",
      "sf01 = scipy.ndimage.filters.uniform_filter1d(score_sarsa_f01, 3, mode=\"reflect\")\n",
      "sf02 = scipy.ndimage.filters.uniform_filter1d(score_sarsa_f02, 3, mode=\"reflect\")\n",
      "sf05 = scipy.ndimage.filters.uniform_filter1d(score_sarsa_f05, 3, mode=\"reflect\")\n",
      "sf09 = scipy.ndimage.filters.uniform_filter1d(score_sarsa_f09, 3, mode=\"reflect\")\n",
      "rf   = scipy.ndimage.filters.uniform_filter1d(score_random_f,  3, mode=\"reflect\")\n",
      "\n",
      "Blues = get_cmap('Blues')  # this returns a colormap\n",
      "\n",
      "cla();\n",
      "p = plot(sf00, \"b-\", label=r\"$\\lambda=0.0$\", color=Blues(0.2));\n",
      "setp(p, 'markersize', 5)\n",
      "setp(p, 'markerfacecolor', 'b')\n",
      "setp(p, 'markeredgewidth', 0)\n",
      "setp(p, 'markeredgecolor', 'b')\n",
      "\n",
      "p = plot(sf01, \"b-\", label=r\"$\\lambda=0.1$\", color=Blues(0.4));\n",
      "setp(p, 'markersize', 5)\n",
      "setp(p, 'markerfacecolor', 'b')\n",
      "setp(p, 'markeredgewidth', 0)\n",
      "setp(p, 'markeredgecolor', 'b')\n",
      "\n",
      "p = plot(sf05, \"b-\", label=r\"$\\lambda=0.5$\", color=Blues(0.8));\n",
      "setp(p, 'markersize', 5)\n",
      "setp(p, 'markerfacecolor', 'b')\n",
      "setp(p, 'markeredgewidth', 0)\n",
      "setp(p, 'markeredgecolor', 'b')\n",
      "\n",
      "p = plot(sf09, \"b-\", label=r\"$\\lambda=0.9$\", color=Blues(1.0));\n",
      "setp(p, 'markersize', 5)\n",
      "setp(p, 'markerfacecolor', 'b')\n",
      "setp(p, 'markeredgewidth', 0)\n",
      "setp(p, 'markeredgecolor', 'b')\n",
      "\n",
      "p = plot(rf, \"r-\", label=r\"Random Movement\");\n",
      "setp(p, 'markersize', 5)\n",
      "setp(p, 'markerfacecolor', 'r')\n",
      "setp(p, 'markeredgewidth', 0)\n",
      "setp(p, 'markeredgecolor', 'r')\n",
      "\n",
      "xlim([0,100]);\n",
      "ylim([0,550]);\n",
      "lg = legend(loc=1, ncol=1, handletextpad=0, handlelength=1.2);\n",
      "xlabel(r\"Episode\");\n",
      "title(r\"\\textsc{Grid-World} Frames to Find Goal Per Episode (3 episode moving average)\");\n",
      "\n",
      "savefig(\"gridWorld1.pdf\");"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": 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CO7rERCYCthw9Ss/NxRf3FQG9HkhODuo4SmCKAO8KskdICBAeHtQnncEIOOrq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\n0rTxaW4+kQAAAABJRU5ErkJggg==\n"
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ggl_dir         = r\"C:\\Users\\mike\\Documents\\Work\\Subversion\\GoogleCode\\general-game-learning\"\n",
      "score_sarsa_f00 = loadtxt(ggl_dir + r\"\\dataDump\\gridWorld\\lambda_0\\Frames since reset.txt\")\n",
      "score_sarsa_f01 = loadtxt(ggl_dir + r\"\\dataDump\\gridWorld\\lambda_0_1\\Frames since reset.txt\")\n",
      "score_sarsa_f02 = loadtxt(ggl_dir + r\"\\dataDump\\gridWorld\\lambda_0_2\\Frames since reset.txt\")\n",
      "score_sarsa_f05 = loadtxt(ggl_dir + r\"\\dataDump\\gridWorld\\lambda_0_5\\Frames since reset.txt\")\n",
      "score_sarsa_f09 = loadtxt(ggl_dir + r\"\\dataDump\\gridWorld\\lambda_0_9\\Frames since reset.txt\")\n",
      "score_random_f  = loadtxt(ggl_dir + r\"\\dataDump\\gridWorld\\random\\Frames since reset.txt\")\n",
      "\n",
      "sf00 = scipy.ndimage.filters.uniform_filter1d(score_sarsa_f00, 3, mode=\"reflect\")\n",
      "sf01 = scipy.ndimage.filters.uniform_filter1d(score_sarsa_f01, 3, mode=\"reflect\")\n",
      "sf02 = scipy.ndimage.filters.uniform_filter1d(score_sarsa_f02, 3, mode=\"reflect\")\n",
      "sf05 = scipy.ndimage.filters.uniform_filter1d(score_sarsa_f05, 3, mode=\"reflect\")\n",
      "sf09 = scipy.ndimage.filters.uniform_filter1d(score_sarsa_f09, 3, mode=\"reflect\")\n",
      "rf   = scipy.ndimage.filters.uniform_filter1d(score_random_f,  3, mode=\"reflect\")\n",
      "\n",
      "Blues = get_cmap('Blues')  # this returns a colormap\n",
      "\n",
      "cla();\n",
      "p = plot(sf00, \"b-\", label=r\"$\\lambda=0.0$\", color=Blues(0.2));\n",
      "setp(p, 'markersize', 5)\n",
      "setp(p, 'markerfacecolor', 'b')\n",
      "setp(p, 'markeredgewidth', 0)\n",
      "setp(p, 'markeredgecolor', 'b')\n",
      "\n",
      "p = plot(sf01, \"b-\", label=r\"$\\lambda=0.1$\", color=Blues(0.4));\n",
      "setp(p, 'markersize', 5)\n",
      "setp(p, 'markerfacecolor', 'b')\n",
      "setp(p, 'markeredgewidth', 0)\n",
      "setp(p, 'markeredgecolor', 'b')\n",
      "\n",
      "p = plot(sf05, \"b-\", label=r\"$\\lambda=0.5$\", color=Blues(0.8));\n",
      "setp(p, 'markersize', 5)\n",
      "setp(p, 'markerfacecolor', 'b')\n",
      "setp(p, 'markeredgewidth', 0)\n",
      "setp(p, 'markeredgecolor', 'b')\n",
      "\n",
      "p = plot(sf09, \"b-\", label=r\"$\\lambda=0.9$\", color=Blues(1.0));\n",
      "setp(p, 'markersize', 5)\n",
      "setp(p, 'markerfacecolor', 'b')\n",
      "setp(p, 'markeredgewidth', 0)\n",
      "setp(p, 'markeredgecolor', 'b')\n",
      "\n",
      "ylim([0,150]);\n",
      "xlim([0,100]);\n",
      "lg = legend(loc=1, ncol=1, handletextpad=0, handlelength=1.2);\n",
      "xlabel(r\"Episode\");\n",
      "title(r\"\\textsc{Grid-World} Frames to Find Goal (3 episode moving average)\");\n",
      "\n",
      "savefig(\"gridWorld2.pdf\");"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": 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PPZHlXlKgwcSMnZdxEAiEjUPOxJ2ilhXs4NHv7vb4IE3ic+fzA4e13BO4ZYjP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\nkZGRuQiRjbuMjIzMRYhs3GVkZGQuQv4/CDBdaCxSeNsAAAAASUVORK5CYII=\n"
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Snake"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ggl_dir        = r\"C:\\Users\\mike\\Documents\\Work\\Subversion\\GoogleCode\\general-game-learning\"\n",
      "score_sarsa_f  = loadtxt(ggl_dir + r\"\\dataDump\\snakeOnline\\noApplesEmptyBoard\\sarsa1\\Frames since reset.txt\")\n",
      "score_random_f = loadtxt(ggl_dir + r\"\\dataDump\\snakeOnline\\noApplesEmptyBoard\\random1\\Frames since reset.txt\")\n",
      "\n",
      "sf = scipy.ndimage.filters.uniform_filter1d(score_sarsa_f,  20, mode=\"reflect\")\n",
      "rf = scipy.ndimage.filters.uniform_filter1d(score_random_f, 20, mode=\"reflect\")\n",
      "\n",
      "cla();\n",
      "p = plot(sf, \"b-\", label=r\"Our Method\");\n",
      "setp(p, 'markersize', 5)\n",
      "setp(p, 'markerfacecolor', 'b')\n",
      "setp(p, 'markeredgewidth', 0)\n",
      "setp(p, 'markeredgecolor', 'b')\n",
      "\n",
      "p = plot(rf, \"r-\", label=r\"Random Movement\");\n",
      "setp(p, 'markersize', 5)\n",
      "setp(p, 'markerfacecolor', 'r')\n",
      "setp(p, 'markeredgewidth', 0)\n",
      "setp(p, 'markeredgecolor', 'r')\n",
      "\n",
      "ylim([0,200]);\n",
      "lg = legend(loc=2, ncol=1, handletextpad=0, handlelength=1.2);\n",
      "xlabel(r\"Episode\");\n",
      "title(r\"\\textsc{Snake} Frames Survived Per Episode (easy level, short tail)\");\n",
      "\n",
      "savefig(\"snake1.pdf\");"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": 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qqipOhPv6+gCIIR7lYDGA8NWbTKaUXQw4nU74fD5lPRgMwul0wuFw6CqKAaTV/JNhGCaO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\npkj4/9EXlhDL1RyXAAAAAElFTkSuQmCC\n"
      }
     ],
     "prompt_number": 102
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ggl_dir        = r\"C:\\Users\\mike\\Documents\\Work\\Subversion\\GoogleCode\\general-game-learning\"\n",
      "score_sarsa_f  = loadtxt(ggl_dir + r\"\\dataDump\\snakeOnline\\tail10\\sarsa1\\Frames since reset.txt\")\n",
      "score_random_f = loadtxt(ggl_dir + r\"\\dataDump\\snakeOnline\\tail10\\random1\\Frames since reset.txt\")\n",
      "\n",
      "sf = scipy.ndimage.filters.uniform_filter1d(score_sarsa_f,  20, mode=\"reflect\")\n",
      "rf = scipy.ndimage.filters.uniform_filter1d(score_random_f, 20, mode=\"reflect\")\n",
      "\n",
      "cla();\n",
      "p = plot(sf, \"b-\", label=r\"Our Method\");\n",
      "setp(p, 'markersize', 5)\n",
      "setp(p, 'markerfacecolor', 'b')\n",
      "setp(p, 'markeredgewidth', 0)\n",
      "setp(p, 'markeredgecolor', 'b')\n",
      "\n",
      "p = plot(rf, \"r-\", label=r\"Random Movement\");\n",
      "setp(p, 'markersize', 5)\n",
      "setp(p, 'markerfacecolor', 'r')\n",
      "setp(p, 'markeredgewidth', 0)\n",
      "setp(p, 'markeredgecolor', 'r')\n",
      "\n",
      "ylim([0,200]);\n",
      "lg = legend(loc=2, ncol=1, handletextpad=0, handlelength=1.2);\n",
      "xlabel(r\"Episode\");\n",
      "title(r\"\\textsc{Snake} Frames Survived Per Episode (easy level, long tail)\");\n",
      "\n",
      "savefig(\"snake2.pdf\");"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": 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yv19/fWna4KBapiefzKedOCHys5+J7NmTT3vNa9R7cX4Ly+6uu9R7KlW+uemb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\nf6VDm7ncA/ieAAAAAElFTkSuQmCC\n"
      }
     ],
     "prompt_number": 103
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ggl_dir        = r\"C:\\Users\\mike\\Documents\\Work\\Subversion\\GoogleCode\\general-game-learning\"\n",
      "score_sarsa_f  = loadtxt(ggl_dir + r\"\\dataDump\\snakeOnline\\noApplesLevel3\\sarsa1\\Frames since reset.txt\")\n",
      "score_random_f = loadtxt(ggl_dir + r\"\\dataDump\\snakeOnline\\noApplesLevel3\\random1\\Frames since reset.txt\")\n",
      "\n",
      "sf = scipy.ndimage.filters.uniform_filter1d(score_sarsa_f,  20, mode=\"reflect\")\n",
      "rf = scipy.ndimage.filters.uniform_filter1d(score_random_f, 20, mode=\"reflect\")\n",
      "\n",
      "cla();\n",
      "p = plot(sf, \"b-\", label=r\"Our Method\");\n",
      "setp(p, 'markersize', 5)\n",
      "setp(p, 'markerfacecolor', 'b')\n",
      "setp(p, 'markeredgewidth', 0)\n",
      "setp(p, 'markeredgecolor', 'b')\n",
      "\n",
      "p = plot(rf, \"r-\", label=r\"Random Movement\");\n",
      "setp(p, 'markersize', 5)\n",
      "setp(p, 'markerfacecolor', 'r')\n",
      "setp(p, 'markeredgewidth', 0)\n",
      "setp(p, 'markeredgecolor', 'r')\n",
      "\n",
      "ylim([0,200]);\n",
      "lg = legend(loc=2, ncol=1, handletextpad=0, handlelength=1.2);\n",
      "xlabel(r\"Episode\");\n",
      "title(r\"\\textsc{Snake} Frames Survived Per Episode (hard level, short tail)\");\n",
      "\n",
      "savefig(\"snake3.pdf\");"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": 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sWbMAAIWFhXF9/suWLVPW58+fj/nz56eYXYZhGJVbbwWWL48NX7xY/L70Jb0P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\nAElFTkSuQmCC\n"
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ggl_dir        = r\"C:\\Users\\mike\\Documents\\Work\\Subversion\\GoogleCode\\general-game-learning\"\n",
      "score_sarsa_f  = loadtxt(ggl_dir + r\"\\dataDump\\snakeOnline\\noApplesLevel3Tail10\\sarsa1\\Frames since reset.txt\")\n",
      "score_random_f = loadtxt(ggl_dir + r\"\\dataDump\\snakeOnline\\noApplesLevel3Tail10\\random1\\Frames since reset.txt\")\n",
      "\n",
      "sf = scipy.ndimage.filters.uniform_filter1d(score_sarsa_f,  20, mode=\"reflect\")\n",
      "rf = scipy.ndimage.filters.uniform_filter1d(score_random_f, 20, mode=\"reflect\")\n",
      "\n",
      "cla();\n",
      "p = plot(sf, \"b-\", label=r\"Our Method\");\n",
      "setp(p, 'markersize', 5)\n",
      "setp(p, 'markerfacecolor', 'b')\n",
      "setp(p, 'markeredgewidth', 0)\n",
      "setp(p, 'markeredgecolor', 'b')\n",
      "\n",
      "p = plot(rf, \"r-\", label=r\"Random Movement\");\n",
      "setp(p, 'markersize', 5)\n",
      "setp(p, 'markerfacecolor', 'r')\n",
      "setp(p, 'markeredgewidth', 0)\n",
      "setp(p, 'markeredgecolor', 'r')\n",
      "\n",
      "ylim([0,200]);\n",
      "lg = legend(loc=2, ncol=1, handletextpad=0, handlelength=1.2);\n",
      "xlabel(r\"Episode\");\n",
      "title(r\"\\textsc{Snake} Frames Survived Per Episode (hard level, long tail)\");\n",
      "\n",
      "savefig(\"snake4.pdf\");"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": 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rpdPRUeP3wpueX/sa8NnPWocdPw789rdAf7+1emHfPpWfhe66q/hEAhj184XB\nUwtoH/948TTaSUALhNo4fr91PO1kls1axy8XbH/0I+O7eT8yXy0kEtY0Pvus6mr7w513qm65Fjnm\nPNZOlprHHrO2SDKX8O0CPgC43aWXNVUM+DRvrV5tHHjmADSeiTaTO3wYiESM/j17gKVLywePQqEQ\n8MEP2v92773Wkrw5CPz2t8b3l15SpXE7J06ojzmYaPXdLhfw1FPq+0c/qm4qAkagveACY5rCk8SS\nJcXLuvpq4Pzzgaam4hNfTU3x+E1NwJveZJ9ubRkHDxpB9p//WXULgyFg3NAt/O3++6392hXOf/2X\n6mrbqjBYliogvPwy8JrXqBY95oCvbUNtPo88orqF9ejmewuFbfcPHAB+/nN1z0I7yZu98ILx3VzC\nN994Nit1j2E6GPBp3jrjDODrX1ffzTf6xnPddap76BBw9tlGifeFF1SQ1OpK77hD3Rz70IdU/zve\noboNDRNbjl3gMnv/+63zOnHCqFJobQV271aBeMkS4Pd/XwXZu+82gvMvf6lKvqefbj1xHDtmBAyt\nzlur9srn7f9EVNjsUAvgL75otI8v/GOSWUtL+XW1c+qUtT591y6V/3ZVdNrVyP/8T/FvK1YY3886\nS3Xf+EbVLVXCL3Wl9uMfq3SddZa1zlzbLlrQra1V3cImoubtoBVCtOD+/POqBdI//qPqL3dVai7h\nF1YnaWainT4DPs26G25QB5LLVb40XlVlBLR3vAP40pcm9s/Mb35TdXM5VYpLJIAnnjCqPH7zGzWf\na65R/QMD1hYW2glCS6OIOjC1/hdeUCXXBx4oXvZnP2tUYQDW1iWPPmqcwB5+GKivN26MAurq4oMf\nVFcdR45Yrz7MJcvHHzfWUQsSWhXH+ecDX/lKcbq0ddXWSwuwra2qKaQIsHJl8XTTZVf3/etfW/v/\n5E+M+y3mAPv616uu+cSqlXqPHVP3eVpbVb85WL7pTcZ42v7ymc8Y83e5VL6bT4xa0NW6pa4ctPsw\n2jLf+Mbik412z8Cuak1jLuGbl7V8ubr5DQDnnFM83XQx4FNZl19evr65t3fyf4+/917j+yOPqNKY\nVnUDGH/GOXXKqDIQAf7t31QJ6667iueppeFnPzOGaSWwr34V+MM/BFatUv2vex3w5jcbzQUBoK3N\nfn6AOvGsXWv0n3MO8IY3GE0R3W71NMbDh9XB/vOfF5cMAVXC1a4+7Eqymq9+VZVAzeuilSzf9S61\njHBY9V8516kaAAAVZklEQVR6qbUkqZ3UNOZ27YODqvUTUBx0jx4FGhuL03LRRdZ+bbmTdf31xcO0\nf75efbWqDtmwQe0HWlWUtk3s/kV7/LixLoC1uuT55406ee0pmd3dal8+dEhVRZlPtIBa/9FR40pS\nC/Tmk0JDgypAuFzqhHvkiDpJF6qrU13thu/oqFHdpu1XpUr4+/apKzvAuJqpJAZ8hys88At/u/Za\n4HvfM4YlEsZOfuqUOijNLQr++q9Vyff++41659/8BkgmjVKquaWJdtC87W3qwHa5VDDVfiusx6yp\nAT78YeDWW1W/iJrm/PNVOrQSNGANAma/+lXxzUbzCQcobv5XrolcLqeCl1YiHe/ZLpNx/vnW/upq\na/+//RuwdWvxdKGQ6n75y0a+NzaqUjFgnEDuuUd1W1qs1S+Ff4w6+2x1gixselh4QgBUKbXQpz5V\nPOzNb1Z59/a3qzyLRtVw7QqlXDVS4T2deNzav3u36mrNKV/3OuB97zPq8AsD/iuvqGocrXpPK3Wb\nrxy2bzeC87e/rfbP17+++OaqdtJ97jn1DCGvVwXy175WzVfEuEdgDviFVXHlHhcxZTJLZnFRi1p1\ntUh/f2Xmde+9IoDI2Fjxb2q3ND4iIn/+50b/gw8a3x94QP3+wAPWaf7930VefLF4Pub+f/gH4/sl\nl1h/a2gQ6eoS+du/LU7PRD5+//jjnHOOtT8WE1m6dOLLaGqa2Hh/8ReTT//ZZ1vz9H/+R+SGG0qP\n/+UvG99/9CPV/b//U3n+jndMbtnadqqtVd1Pf9q6fwwNifzrvxrzb2lR4z38sMjoqMg114hcf33p\n7a7lvYjIsWPW4bt2qe7AgMjf/I19+j79afvhzc0iZ54p8va3q3n/5CcigYD6fvfdapyPfUzkF78o\nv/7nnaemqa1Vx8njj6t1M48TDIp84AOl0/GNbxRvz1xOZM8ekTe/WeT8863rt3598Xwee0ykkrGz\ncnMab0EVTLSI2uEWisOHRZ5+evrzueIK6wE0XbfcoualHbxmhTvepk3W/s99bvygUVVVPOzo0dLj\nB4P2w1eunFywWr9e5Lrrxh/vxhvVyU7rf/hhte7LlpWeZnTU2v/MM/bjbdwo8tvfqu//8A8iTzxR\nPM7v/Z7IqVNqmT/8of18nn9edb/5TTXexz6m+p94wjrP97xH5DvfMfpTKeuJ/K1vNX77yEdU97bb\n7Jf52tda94Frr1XrUs6hQ2odCpn314YG63Le8Ab7/e3UKeNEMjqqtsuFFxq/V1eX3j4iIh/8oPr+\n7W+LvPOdIn/912q4VsD5sz8Teeml0vP44z+29h8+rKbPZlX/unXGb697nTpBXXWVdZorr1TbxDzs\nNa8xvr/5zdbf/uiPVPd977NLE8pn/iRUbk7jLaiCidYO0sHBis1yRhw6pLrt7cbOOBmAyHvfKzIy\nInLkSPGObTY2pg5ys2efFbn0UhU0du4U2b9f5He/M373+azzfPllkYceMpY93c+550583Npa64Fk\n9ykVFO0O2MIDClClsdZWo/+xx9S69vSo/pdeKr/uP/+5+v3aa0UOHBB57jkVnOzGveMOkePH1ff1\n60VeeKF4nHvvtW4v7QoqkTDGOXlSdf/7v9U4jzyi+o8fV9v8DW9Q/fm8yH/+Z+n97POfN+apneiP\nHxf5l38xhl9wgXX/ymanX1Dp6BD51a/U9zVr1LyvuUZkyRKRtWuN8fbsMa4I7Bw8qPbdkRGRd79b\njfetb6mTwaOPqhPvvn3G+OZ8/tzn1DBtW8XjxeOYP6tWWfu1k/LwsOofGjIKLn/3d8YyL7lE5Mkn\nRe66SySdtm5D8/H7yU+qK4ZPflJdUT7zjLrKueceNe5dd6nxYjEGfBExqgk2by4/3lNPifzTP5Uf\n59AhVdIrZ98+kb17jQ0/EdpGA0T+8A9V99gxtdPed1/x+M89J3LzzdZhpXbIs85Svx84oPLi/e83\nfnvXu9RyREQuumhqgdpcCi9XhVDu86d/Ornx29qM79ddp7aJ1v/gg0beA+pKZ8cO9f3220Xuv199\nv/hi1X3gAZFt24zpteqMv/xLVS2iB7XhYZHjx+XUKXW5X5jv27erkvrmzcaJ0M5tt4nceac6cA8c\nsO4ngEh9vQrO3/++qqYoPDFrhodFMhn1/cEHjUCZThvzPHpU5Iwz7KfX8qEUraB08qRRajWvr4jI\nz36m5jMTdu9WJ1ctLXbpM6erlAMH1PFYzvCwqtK7/3713c6dd6qT7l13GcMeflgdi+m02lbljvlX\nXimfhsI0PvKIOnFNhLbc3bsdFPBfeUVky5bi4drZ88tfLvhhbEzkllv0es+3v10EKN6zXnihuG75\nvvuMyzzt0t5Iu1FS+MEP1IG9YoXaKAcOqMvdl14S+exnVf3v8LC1JHnWWfZB7jvfMXZwrS748cdV\nv7luu/Bz5plGul6DE7bjfPObUwvUgLocBUQ6O9Vy3vY2a1DQ6h3POUfkE5+wn8f27cb3559XpePC\nk8rJk2pbHD1q1BWbd5PCfm1YJKJOnBdcYB3+pS+pbjarhj31lKoS0H6/5BIpntk11xTtH6dO2Qek\nSdm/X+ToUcnlVEnaVjarEjnHnvj778qNN0x3hRexsTF10M+RBR/wjz20R06cEPnJaz8jr8EJefZZ\nkWhUBb3Vq0UO5ccEEFmKFwUYk88jKhuxTaJRdQn6jW+o37644YSMjanA8fWvi/z67GYRQM7BfgFE\n3oTfiQBy5LZ+ufxykVBIXWICIo14UM7F43pQ+Rt8Tx7BO+SvcIsAIhdB3eH5FH6oj3MGjson8DO9\n/7zzzEFszBLQzsF+cWNEnsVb5CLcXTbA/vjHEw/Ge/eq7mWXiZwGVWewAkOWcf4W35GL8d8CiLhc\napgLp6QKJ+Uc7JfT8UrRfC/E/XrPGThaFGi/9qVXZPuVz4uI2v+fuPE2kXRaxtatU6WR48dFBgYk\nl1N1y//+70aw12iX1L/85asD9u3T6+WOHFElYb3K6W1vkx2Nm2Uf3qZm9moEPniwIBi/2vP442r+\nn/ykyNjffUVVhpp89KOvVoscP67qDw4dKj6j3Hyz9Rp9/37VvfRSkY9/XNUhHDumltnTo87WWmLy\neXXmMnZ4EbfbqNezPyjKF8lvuEFd549nYEBd6mheftn6ey5nLGvPHjXsxRdVt69PDb/8cnXpUTit\nRrtsnIwTJ9TNH/NldipVvM7bttnnUz5vf+Z94AFVIX7iROllHzky8fqogQG1nBMnjDx65BF1ufWF\nLxh1ZSMjE5ufiApKd95ZPPzuu9UdbvNlxXPPlZ5PPr9wA/4dN+yRKFRlYhPUNXknrpWP41b5c/xc\nTscrcgBvkEHUy9/ge0XR7gXY3027D++WM88Ykx9DNfP4NH5gO942bJSN2CbvwkP6sLfgWbkK37Ad\nX/u8Ec/LrecaRe7X4pgcxRlyE9olgTVF4/8Kxc1DzDcHH//CDdKGn4gA8lY8LQKIGyP673mcLd/H\nZ+Wcc0T+43tjcjUulyeWNMiJiz8hMjamB/pNMO5MvvBgRvY8ekouu0z0YX/3ib0iInLiAx9Ww16t\nVP/FmZ+QGFpE4nF55vyPSD8+VJTe/WcuVxvupZfGb7bynveInHaa+p5IiMir+zqggujhw6quIBCQ\n0dt/rW4uFF4aLF0q8l//JeLxiLzpTfbLufhiVZ8joi7/7MbZv9/4fsstIrfeKvKP/6j6/+qvjN9u\nvtn4HgpZL/mOHlVBADDucGqfu+4ymntoHy1QACpIaUHN/Dn7bBWATp1SQcR8ll+5Ut1Z/MlP1CXP\nCy9Y69JuvFGd0Y4dU5eZN96o8uIrX7EuQ6tk1j7JpMrnxkb7vPr1r1U9l3nYxz6m8jcSMfLk0ktV\n94YbVMnsc59T2/ycc4x6NC2PAdWs6tprrfN99ll1B1XrV81PrB/t5NPVpQUN6zSbNqkzvtbf3q4q\n/gvvKGs3OgCV32vXqu/f/a66EWRuDqNty9e9rvw+rn2+/W2RDRvU+jz+uNpX7r1XnTC+92rMOnbM\nmO/Ro+pEUWp+2mXpW9+qCjbaDT9Av0GzYAO+AJLB8oll7Dz4/Bx/XvF5PvvH1srtV3D6nK/ngvtE\no9bgPdXPihVzvy6z9XnLW+Y+DZP5nH325MZftqx805upfpYvV90PFReKJvQprMucwmdBB3wBZOg9\n6mA9WV1TdkWP/Oinqg0VIGOmZhfDDz0rr+zJyPEV58ljF1sru1vf8L9GfywmY8dPyO1X7SqfqXV1\nqlTyapOIsfe+V17+1/+Qwy+biuWtrbLr9udlzOsVAeTEe407pZlNN8n//vSgusPyalOTsSeeVKXd\nEyfsG9gC8sw7VRWUfOELU98hrrpK3egoHF447MABa7/fr0rSV19tDPuP/1CX9ObmGoBqyAyoEuEX\nv6hKOZnM5NPa3q7dWDE+27YZ9WyAOnB///eNJi6AKtXddltx84loVDVjAkR6e412d2eeqUq3X/ua\ncXPgySdVlQwg8tWvqu7mzdb5LVliTV84LPLhD6s2gZdeWpz2wk9hiRuwNoMxf976VnUT6qqrVPtV\nLY/NnwceMNJa6vOb31ibCn3hCyq/7rnHekK77z512QWo6hCtzShgNIT/+tdLL+fWW639p51mNIb/\n4hdVs6h4XKS72xhnwwZ1lVVuHbZvV6Xje+5R/XYn8tZWdRdb+0NGa6u1Pa3dp7D51D33WNum/uIX\nav8pnE5rPL9vn8pbEbW8Rx+1Xl1M9rNundFoP5VS+4V2o+v++63jHjtmVDlecoks3IB/6JBxm97O\nsWMyOlrm7vexY+oSbjxPPVVcF2muC9TqI+3qB2+91XqX7fBho75TRO1IR4+KfvOgcB4nT5b+Z5TW\nNq++XvUfPKiCiHZL/tQpoy7zyBE1b205hfWVY2PqUrHwjuCf/qnxT5NHH7U2e7jnHnUXs3AarY2f\n2W9/q3ZIbd3t6nBPnlTroNV179tntI0z120X2rtXfczNJ1Ipo/H1eL71LXXwavljTvvhw/bLNDtx\nQlVPnDypdrZjx9R3TT6vtlMuZ53u1CmVf6dOqTw7dkxtpx/+sHxdvebAAdXioJTf/U41ufrVr4w2\novv3q5YCY2OqOumll4z1K3k32GRszGj+dfKk0fSnnFtvVet+5IiqXy63nFLNWHbvtvZr++/u3eo4\nKNXE7sQJVSpOJFSQL+eGG9RJWUTVuwPqXoZ5f9izR62H5tgxdeLTxnn88fGb25iNjqp8HBmxtgN9\n9Sa9vj/u368+552nWj9o+1ep1gB331283/761yJHjlQ04LtERCrxj93Ozk6sWrUKmUwGGzduLPrd\n5XKhQota8AYGBrB69eq5Tsa8wLwwMC8MzAtDJWNnRZ6lE4vFsGzZMrS2tmJ4eBjxwgdbkMXAwMBc\nJ2HeYF4YmBcG5sXMqEjA7+3thefV95itWrUKCe1RdURENG9UJODncjk94FdXVyNTyccFEhFRRVSk\nDj8YDKKtrQ2tra2IxWJIJpPYvn27dUF2DwgnIqJxVaoO/7RKzKStrU0v1WcyGTQ3NxeNwxu2RERz\nqyJVOuabtaOjo2iZygswiYhoRlWsWSYRlZdKpZDNZtHU1ITqwldXkWNkMhn9nudse82WLVu2zOQC\nOjs7kc/ncfvtt+N973vfTC5qXggEAgiFQhgdHUVTUxMA+zyY6LCFLpPJoL29HYFAAIBz8yISiWDP\nnj1Yt24dzjzzTADOzQttfX7wgx847hhJpVK46KKL0NHRoQ+bzrpPNj9m9J22Tmuf39/fj76+PoyM\njCASiSCbzdrmQSwWw9KlS8cdthgkk0nkXn0BqVPzIpPJIBKJ4DLTC2GdmhfxeFxfHwCOO0YaGhpQ\nW1ur909n3aeSHzMa8J3WPn/NmjX698bGRtTW1qKnp6coD3p7e+H1escdttDF43G0tbXp/U7Ni2Qy\nidraWoTDYTQ3NyOfzzs2L5qamtDT04NMJoOlS5dixYoVjs0LwD5GTnTdp5IfFWmlU4pT2+fncjn4\nfD5UV1cjn8/reeB2u/U8WLFiRclhiyGvkskkmpqaLK2znJoXqVQKoVAILS0tGB4extatWx2bF9XV\n1Whvb0djYyOi0SgA5+4XgDVGTnTdp5MfM1rCd7vdGBoaAmBdscWur68PW7duBWCfB+YNVm7YQhaJ\nRBAIBBAMBrFr1y6Ew2HH5oXb7cbw8DAAwO/3I5fLOTYvMpkMcrkcstksOjo6kM1mHZsXwPTiw1Ty\nY0ZL+BNpn7/YJJNJBINBAKp+0i4PRGRCwxay3t5eAKr0FggEsHHjRsTjcUfmhd/vR19fH9avX4+h\noSE0NjaipqbGkXnR398Pt9uN6upqdHR0IJVKOfYYAexj5ETXfSr5MaMlfKe1z4/FYggGg/D5fKir\nq0M6nbbkwfDwMFpaWsYdtpjyylyl49S8WLNmDdxuN+LxOPL5PNatW+fYvAgGgxgcHEQ0GsXQ0BBa\nW1sdlRda09zdu3cDmNoxMZ38YDt8IiKHmNESPhERzR8M+EREDsGAT0TkEAz4RBOQz+cRjUaRzWbn\nOilEU8aATwteLBZDVVUVwuEwotEoQqGQ/qeeQrlcTm82OxnV1dVIJBL6YyKIFiK20qFFoaqqCmNj\nY3p/Op1GfX19RZcRCoXQ3t5e8fkSzRaW8GnRicViqK+vRyQSQTAYRCgUQmNjI7LZLNLptF76z2Qy\niMViCIVCyOfzyOVyCIfDiMfjCIVC+vzC4TD6+/uxa9cuuFwu5PN5RCIRdHZ2IhwOz9VqEk0aAz4t\nGtdffz3C4TCuu+46AND/ar59+3a0tbWhu7sbHo8H3d3dANS/PrPZLLZt2wYA2Lp1K7xeL1pbW+F2\nuxEOhxEOh+Hz+bBmzRp4PB6ICK699losW7YMq1atWhTPcyHnYMCnReOyyy7Dxo0bEYvF9GHao2jX\nrFmDTCZjefHI+vXrsXPnTgQCAVRXVyObzeq/+/1+7Ny5E4lEQp+H1k2n02hqakJraytuuumm2Vo9\nomljwKdFZ/ny5YjFYnC5XPowu2eNpNNp9Pb2oqGhAdFoFB6PR3/E7NDQEPx+PzweD3bu3GmZznyV\nkE6nZ3htiCpnRh+eRjQbtOCu1afv3LkTS5cuxdq1a7Fr1y5Eo1Hkcjm99J/NZpHNZpFMJpFMJlFX\nV4dgMIglS5YgFArpz7zZuHEjmpqaEAgEMDQ0hEwmg8HBQXR0dMDv96OnpwddXV1zvPZEE8dWOrRo\nJZNJxGIxbN++fa6TQjQvsEqHFq10Oo3BwUHk8/m5TgrRvMASPhGRQ7CET0TkEAz4REQOwYBPROQQ\nDPhERA7BgE9E5BAM+EREDvH/Ably3kZTWsnXAAAAAElFTkSuQmCC\n"
      }
     ],
     "prompt_number": 105
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "cdtdf = 7.57675\n",
      "cdtsf = 0.886596\n",
      "cstdf = 6.80377\n",
      "cstsf = 0.106319\n",
      "\n",
      "clf();\n",
      "\n",
      "figsize(6, 2);\n",
      "\n",
      "barh([1, 2, 3, 4], [cdtdf, cdtsf, cstdf, cstsf], align=\"center\");\n",
      "yticks(\n",
      "    (1, 2, 3, 4),\n",
      "    (\"Dense Traces, Dense Features\",\"Dense Traces, Sparse Features\",\"Sparse Traces, Dense Features\",\"Sparse Traces, Sparse Features\"))\n",
      "\n",
      "lg = legend(loc=2, ncol=1, handletextpad=0, handlelength=1.2);\n",
      "title(r\"Cumulative Computation Time (s) During 1000 Frames of \\textsc{Dodge-The-Missile}\");\n",
      "\n",
      "savefig(\"perf1.pdf\", bbox_inches=\"tight\");"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": 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LjBfj0Vi333dPRLT8nj1bxceP3XmH8Sj4ozY00mL+qA0R0WN5mB+j4Y/aEBER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\ntMT+P5PDS+OIuBl0AAAAAElFTkSuQmCC\n"
      }
     ],
     "prompt_number": 16
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "sparsef = 1000\n",
      "densef  = 129600\n",
      "\n",
      "clf();\n",
      "\n",
      "figsize(6, 1);\n",
      "\n",
      "barh([1, 2], [densef, sparsef], align=\"center\");\n",
      "yticks(\n",
      "    (1, 2),\n",
      "    (\"Dense\", \"Sparse\"))\n",
      "\n",
      "lg = legend(loc=2, ncol=1, handletextpad=0, handlelength=1.2);\n",
      "title(r\"Average Number of Features During 1000 Frames of \\textsc{Dodge-The-Missile}\");\n",
      "\n",
      "savefig(\"perf2.pdf\", bbox_inches=\"tight\");"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": 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     "prompt_number": 18
    }
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}